A generalization of the Virasoro algebra to arbitrary dimensions
Abstract
Colored tensor models generalize matrix models in higher dimensions. They admit a 1/N expansion dominated by spherical topologies and exhibit a critical behavior strongly reminiscent of matrix models. In this paper we generalize the colored tensor models to colored models with generic interaction, derive the Schwinger Dyson equations in the large N limit and analyze the associated algebra of constraints satisfied at leading order by the partition function. We show that the constraints form a Lie algebra (indexed by trees) yielding a generalization of the Virasoro algebra in arbitrary dimensions.
- Publication:
-
Nuclear Physics B
- Pub Date:
- November 2011
- DOI:
- 10.1016/j.nuclphysb.2011.07.009
- arXiv:
- arXiv:1105.6072
- Bibcode:
- 2011NuPhB.852..592G
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- doi:10.1016/j.nuclphysb.2011.07.009